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COMEDK2014MathematicsPermutation and Combination

If a polygon of n sides 275 diagonals, then n is equal to

Options

  1. A25
  2. B35
  3. C20
  4. D15

Correct answer

A. 25

Step-by-step solution

A polygon of n sides has number of diagonals = n(n-3) 2 =275 [given] n²-3 n-550=0 (n-25)(n+22)=0 n=25 [n -22]

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